{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Single Experiment\n",
    "\n",
    "In this notebook we run a single experiment and display the estimates of the dynamic effects based on our dynamic DML algorithm. We also display some performance of alternative benchmark approaches."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Data Generation from a Markovian Treatment Model\n",
    "\n",
    "We consider the following DGP:\n",
    "\n",
    "\\begin{align}\n",
    "    X_t =& (\\pi'X_{t-1} + 1) \\cdot A\\, T_{t-1} + B X_{t-1} + \\epsilon_t\\\\\n",
    "    T_t =& \\gamma\\, T_{t-1} + (1-\\gamma) \\cdot D X_t + \\zeta_t\\\\\n",
    "    Y_t =& (\\sigma' X_{t} + 1) \\cdot e\\, T_{t} + f' X_t + \\eta_t\n",
    "\\end{align}\n",
    "\n",
    "with $X_0, T_0 = 0$ and $\\epsilon_t, \\zeta_t, \\eta_t$ normal $N(0, \\sigma^2)$ r.v.'s. Moreover, $X_t \\in R^{n_x}$, $B[:, 0:s_x] \\neq 0$ and $B[:, s_x:-1] = 0$, $\\gamma\\in [0, 1]$, $D[:, 0:s_x] \\neq 0$, $D[:, s_x:-1]=0$, $f[0:s_x]\\neq 0$, $f[s_x:-1]=0$. We draw a single time series of samples of length $n\\_samples$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\numba\\errors.py:105: UserWarning: Insufficiently recent colorama version found. Numba requires colorama >= 0.3.9\n",
      "  warnings.warn(msg)\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from dynamic_panel_dgp import DynamicPanelDGP, LongRangeDynamicPanelDGP\n",
    "n_units = 400\n",
    "n_periods = 3\n",
    "n_treatments = 1\n",
    "n_x = 100\n",
    "s_x = 10\n",
    "s_t = 10\n",
    "sigma_x = .5\n",
    "sigma_t = .5\n",
    "sigma_y = .5\n",
    "gamma = .0\n",
    "autoreg = .5\n",
    "state_effect = .5\n",
    "conf_str = 6\n",
    "hetero_strength = 0\n",
    "hetero_inds = None\n",
    "\n",
    "#dgp_class = LongRangeDynamicPanelDGP\n",
    "dgp_class = DynamicPanelDGP\n",
    "dgp = dgp_class(n_periods, n_treatments, n_x).create_instance(s_x, sigma_x, sigma_y,\n",
    "                                                              conf_str, hetero_strength, hetero_inds,\n",
    "                                                              autoreg, state_effect,\n",
    "                                                              random_seed=39)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "Y, T, X, groups = dgp.observational_data(n_units, gamma, s_t, sigma_t, random_seed=1234)\n",
    "true_effect = dgp.true_effect"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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HElmRCKJUGDHlUrVa1iVjUWS5StByD0FUNKT0LQfKz/Xsj8v+iM0dmwta5j8N+Sf87CM/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mwdMzImuffYjbJbQBFXASi6gWJF7ptGkXV+ya1A286Y4c+f+xycv/qHRv9KnY74uwJ26hltb5ZM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\n3z2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mG80V2M968YYNJq0nbaExBNiaL/bzKtZH8bXLpopwk+kDXY6D1WmBP/44qcJ7yqhj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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1440x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize=(20, 5))\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(Y, label=\"Outcome\")\n",
    "plt.plot(T, label=\"Treatment\")\n",
    "plt.legend()\n",
    "plt.subplot(1, 2, 2)\n",
    "for it in range(3):\n",
    "    plt.plot(X[:, it], label=\"X[{}]\".format(it))\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. 1 True Parameters for Dynamic Effects for 3 periods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cTwFX9G1vBc50nNPl2FHmIsnVwOeA3VX14wv7q+pM75/PAl9g/o9gY8lVVc9X1c96jx8A\n1ifZ1OXYUebqczML/sg8wuvVxSTWVycTWF8DTWh9rcRY11eS9cwX+z9W1eFFpoxvfQ37TYXV/DD/\nJ4mngSv55ZsK71ww5/d46RsSX+t67IhzvRU4Cbxvwf5XA6/te/wQsGuMud7ML7/PcB3wg961m+j1\n6s17PfP3TV89juvVd45tLP0G4djXV8dcY19fHXONfX11yTWJ9dX7974H+Ntl5oxtfQ3tQg/xF+xG\n5t9l/g7wl719twG39V3AO3vjx4Hp5Y4dY67PAT8BHuv9zPT2v633C/U48NQEct3eO+/jzL8R977l\njh1Xrt72HwP3LThu1NfrXuCHwDnmXy3dukbW16Bck1pfg3JNan0tm2sS64v5W2UFPNH363TjpNaX\n31CVpAattXvukqQhsNwlqUGWuyQ1yHKXpAZZ7pLUIMtdkhpkuUtSgyx3SWrQ/wMPYxHbfBY0LAAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "true_effect = true_effect.flatten()\n",
    "plt.plot(true_effect, 'o')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Dynamic DML"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression, LassoCV, Lasso, MultiTaskLasso, MultiTaskLassoCV\n",
    "from sklearn.model_selection import GroupKFold\n",
    "import warnings\n",
    "warnings.simplefilter('ignore')\n",
    "\n",
    "np.random.seed(123)\n",
    "\n",
    "alpha_regs = [1e-4, 1e-3, 1e-2, 5e-2, .1, 1]\n",
    "lasso_model = lambda : LassoCV(cv=3, alphas=alpha_regs, max_iter=500)\n",
    "mlasso_model = lambda : MultiTaskLassoCV(cv=3, alphas=alpha_regs, max_iter=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "from panel_dynamic_dml import DynamicPanelDML\n",
    "\n",
    "est = DynamicPanelDML(model_t=mlasso_model(),\n",
    "                      model_y=lasso_model(),\n",
    "                      n_cfit_splits=3).fit(Y, T, X, groups)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.1 Parameter Recovery and Confidence Intervals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Effect Lag=0, T=0: 0.777 (0.687, 0.868074), (Truth=0.866165)\n",
      "Effect Lag=1, T=0: 1.147 (0.919, 1.375321), (Truth=1.200000)\n",
      "Effect Lag=2, T=0: 0.896 (0.536, 1.257250), (Truth=0.641424)\n"
     ]
    }
   ],
   "source": [
    "param_hat = est.param\n",
    "conf_ints = est.param_interval(alpha=.05)\n",
    "for kappa in range(n_periods):\n",
    "    for t in range(n_treatments):\n",
    "        param_ind = kappa*n_treatments + t\n",
    "        print(\"Effect Lag={}, T={}: {:.3f} ({:.3f}, {:.6f}), (Truth={:.6f})\".format(kappa, t,\n",
    "                                                                                    param_hat[param_ind],\n",
    "                                                                                    *conf_ints[param_ind],\n",
    "                                                                                    true_effect[param_ind]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6ebnmn+5Pklz7odMbp6FLzBagNdsjAQAA+pjSBgAA0MeUNgAAgD6mtAEAAPQxNyIBOuP0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\nU9oAAAD6mNIGAADQx/4/+nQ4QU0CIwoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 5))\n",
    "plt.errorbar(np.arange(n_periods*n_treatments)-.04, param_hat, yerr=(conf_ints[:, 1] - param_hat,\n",
    "                                                    param_hat - conf_ints[:, 0]), fmt='o', label='dyn-dml')\n",
    "plt.errorbar(np.arange(n_periods*n_treatments), true_effect.flatten(), fmt='o', alpha=.6, label='true')\n",
    "for t in np.arange(1, n_periods):\n",
    "    plt.axvline(x=t * n_treatments - .5, linestyle='--', alpha=.4)\n",
    "plt.xticks([t * n_treatments - .5 + n_treatments/2 for t in range(n_periods)],\n",
    "           [\"$\\\\theta_{}$\".format(t) for t in range(n_periods)])\n",
    "plt.gca().set_xlim([-.5, n_periods*n_treatments - .5])\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 Benchmark Method Comparison"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "panelX = X.reshape(-1, n_periods, n_x)\n",
    "panelT = T.reshape(-1, n_periods, n_treatments)\n",
    "panelY = Y.reshape(-1, n_periods)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2.1 Regressing Y on all T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "est_lr = LinearRegression().fit(panelT[:, ::-1, :].reshape(-1, n_periods*n_treatments), panelY[:, -1]).coef_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2.2 Regressing Y on all T and either final or initial States"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "est_lr_x0 = lasso_model().fit(np.hstack([panelT[:, ::-1, :].reshape(-1, n_periods*n_treatments),\n",
    "                                  panelX[:, 0, :]]), panelY[:, -1]).coef_[:n_periods*n_treatments]\n",
    "est_lr_xfinal = lasso_model().fit(np.hstack([panelT[:, ::-1, :].reshape(-1, n_periods*n_treatments),\n",
    "                                  panelX[:, -1, :]]), panelY[:, -1]).coef_[:n_periods*n_treatments]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2.3 Performing DML with Y and all T and controlling for either final or initial States"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from econml.dml import LinearDMLCateEstimator\n",
    "dml_model = lambda : LinearDMLCateEstimator(model_y=lasso_model(), model_t=mlasso_model(),\n",
    "                                      n_splits=3, linear_first_stages=False)\n",
    "est_dml_x0 = dml_model().fit(panelY[:, -1], T=panelT[:, ::-1, :].reshape(-1, n_periods*n_treatments),\n",
    "                      X=None, W=panelX[:, 0, :]).intercept_\n",
    "est_dml_xfinal = dml_model().fit(panelY[:, -1], T=panelT[:, ::-1, :].reshape(-1, n_periods*n_treatments),\n",
    "                      X=None, W=panelX[:, -1, :]).intercept_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2.4 Running a Direct version of Dynamic DML\n",
    "\n",
    "Where a direct lasso is performed at each stage, regressing the calibrated outcome on the current period treatment and state and reading the coefficient in front of the treatment as the causal effect."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "Y_cal = panelY[:, -1].copy()\n",
    "direct_theta = np.zeros((n_periods, n_treatments))\n",
    "for t in np.arange(n_periods):\n",
    "    direct_theta[t, :] = lasso_model().fit(np.hstack([panelT[:, n_periods - 1 - t, :],\n",
    "                                                      panelX[:, n_periods - 1 - t, :]]), Y_cal).coef_[:n_treatments]\n",
    "    Y_cal -= np.dot(panelT[:, n_periods - 1 - t, :], direct_theta[t, :])\n",
    "est_direct = direct_theta.flatten()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2.5 Plot all estimates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BYqNi5Xa5lT0wWzcOuTFgxxg7dqxSU1PPu055ebk2bNig7373u01j1dXVAcsQrGjoAADo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\nBvUt2pn1+ORkVCYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 5))\n",
    "plt.errorbar(np.arange(n_periods*n_treatments)-.04, param_hat, yerr=(conf_ints[:, 1] - param_hat,\n",
    "                                                    param_hat - conf_ints[:, 0]), fmt='o', label='dyn-dml')\n",
    "plt.errorbar(np.arange(n_periods*n_treatments)-.02, est_lr, fmt='o', alpha=.6, label='no-ctrls')\n",
    "plt.errorbar(np.arange(n_periods*n_treatments), true_effect.flatten(), fmt='*', alpha=.6, label='true')\n",
    "plt.errorbar(np.arange(n_periods*n_treatments)+.02, est_lr_x0, fmt='o', alpha=.6, label='init-ctrls')\n",
    "plt.errorbar(np.arange(n_periods*n_treatments)+.04, est_dml_x0, fmt='o', alpha=.6, label='init-ctrls-dml')\n",
    "plt.errorbar(np.arange(n_periods*n_treatments)+.1, est_lr_xfinal, fmt='o', alpha=.6, label='fin-ctrls')\n",
    "plt.errorbar(np.arange(n_periods*n_treatments)+.12, est_dml_xfinal, fmt='o', alpha=.6, label='fin-ctrls-dml')\n",
    "plt.errorbar(np.arange(n_periods*n_treatments)+.14, est_direct, fmt='o', alpha=.6, label='dyn-direct')\n",
    "for t in np.arange(1, n_periods):\n",
    "    plt.axvline(x=t * n_treatments - .5, linestyle='--', alpha=.4)\n",
    "plt.xticks([t * n_treatments - .5 + n_treatments/2 for t in range(n_periods)],\n",
    "           [\"$\\\\theta_{}$\".format(t) for t in range(n_periods)])\n",
    "plt.gca().set_xlim([-.5, n_periods*n_treatments - .5])\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cQUOYdYuQQSuazF2kDIEmj818TDsIGbSmadC0HTZ0MGUgZFCUtoKBgCkHIYNWtTHEaNrV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\nAEkRMgCSImQAJEXIAEiKkAGQ1P8Dfrk9qBiwpdQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from scipy.stats import multivariate_normal\n",
    "\n",
    "id1, id2 = 0, 1\n",
    "length = 2 * max(est.param_stderr[id1], est.param_stderr[id2])\n",
    "xlin = np.linspace(param_hat[id1]-length, param_hat[id1] + length, 500)\n",
    "ylin = np.linspace(param_hat[id2]-length, param_hat[id2] + length, 500)\n",
    "grX,grY = np.meshgrid(xlin, ylin)\n",
    "pos = np.array([grX.flatten(), grY.flatten()]).T\n",
    "\n",
    "rv = multivariate_normal(param_hat[[id1,id2]], est._cov[np.ix_([id1, id2], [id1, id2])]/n_units)\n",
    "\n",
    "fig = plt.figure(figsize=(4,4))\n",
    "ax0 = fig.add_subplot(111)\n",
    "ax0.contourf(grX, grY, rv.pdf(pos).reshape(500,500))\n",
    "ax0.scatter(true_effect[id1], true_effect[id2])\n",
    "plt.xlabel(\"$\\\\theta_{{{}}}$\".format(id1))\n",
    "plt.ylabel(\"$\\\\theta_{{{}}}$\".format(id2))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Policy Effect"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Policy effect for treatment seq: \n",
      " [[0]\n",
      " [1]\n",
      " [0]]\n",
      " 1.147 (0.919, 1.375) (truth=1.200)\n"
     ]
    }
   ],
   "source": [
    "tau = np.random.binomial(1, .5, size=(n_periods, n_treatments))\n",
    "true_policy_effect = dgp.static_policy_effect(tau, mc_samples=1000)\n",
    "policy_effect_hat = est.policy_effect(tau)\n",
    "policy_ints = est.policy_effect_interval(tau)\n",
    "print(\"Policy effect for treatment seq: \\n {}\\n {:.3f} ({:.3f}, {:.3f}) (truth={:.3f})\".format(tau,\n",
    "                                                                                               policy_effect_hat,\n",
    "                                                                                               *policy_ints,\n",
    "                                                                                               true_policy_effect))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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EAPTWaiGmVpw7/1wLFqoZFjAmmHPnn8v1K64fUAX95LJPuqloQhtBz/YAvglcBhwEPpWZ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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_policies = np.random.binomial(1, .5, size=(16, n_periods, n_treatments))\n",
    "\n",
    "plt.figure(figsize=(15, 15))\n",
    "for t, tau in enumerate(test_policies):\n",
    "    true_policy_effect = np.dot(true_effect, tau[::-1].flatten())\n",
    "    policy_effect_hat = est.policy_effect(tau)\n",
    "    policy_ints = est.policy_effect_interval(tau)\n",
    "    plt.subplot(4, 4, t + 1)\n",
    "    plt.errorbar([t -.04], [policy_effect_hat], yerr=([policy_ints[1] - policy_effect_hat],\n",
    "                                                  [policy_effect_hat - policy_ints[0]]), fmt='o', label='dyn-dml')\n",
    "    plt.errorbar([t -.02], [np.dot(est_lr, tau[::-1].flatten())], fmt='o', alpha=.6, label='no-ctrls')\n",
    "    plt.errorbar([t], [true_policy_effect], fmt='o', alpha=.6, label='true')\n",
    "    plt.hlines([true_policy_effect], t - .06, t + .14, linestyles='--', alpha=.4)\n",
    "    plt.errorbar([t + .02], [np.dot(est_lr_x0, tau[::-1].flatten())], fmt='o', alpha=.6, label='init-ctrls')\n",
    "    plt.errorbar([t + .04], [np.dot(est_dml_x0, tau[::-1].flatten())], fmt='o', alpha=.6, label='init-ctrls-dml')\n",
    "    plt.errorbar([t + .1], [np.dot(est_lr_xfinal, tau[::-1].flatten())], fmt='o', alpha=.6, label='fin-ctrls')\n",
    "    plt.errorbar([t + .12], [np.dot(est_dml_xfinal, tau[::-1].flatten())], fmt='o', alpha=.6, label='fin-ctrls-dml')\n",
    "    plt.errorbar([t +.14], [np.dot(est_direct, tau[::-1].flatten())], fmt='o', alpha=.6, label='dyn-direct')\n",
    "    plt.title(\"{}\".format(tau.flatten()))\n",
    "#plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.707589092135044"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Optimal Contextual Binary Treatment Policy\n",
    "def adaptive_policy(t, x, period):\n",
    "    return 1.*(dgp.hetero_effect_fn(n_periods - 1 - period, x) > 0)\n",
    "dgp.adaptive_policy_effect(adaptive_policy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2.820942109125225, (2.547666040491572, 3.094218177758878))"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "est.adaptive_policy_effect(X, groups, adaptive_policy)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Estimation Diagnostics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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V2r0M+F93/8jMWgCLzeyNSvuKpJTS8gqeeHcNv/3npzTMqMcvLzqOK4apRVMSR5BTPcOA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\nB/XYVrZlHTpVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.plot(est.param_stderr)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0DUn3Sdou6eN90kjSRZJ2SLpb0rF1y42ItijmrlY5JqGJltxe4BO275B0MHC7pBtt39uT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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(est._M)\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WuHvg+6H6d6P8MfDpcXVLSy4iyjVvyB21vX7EPTXNWdKLqILc88cVmCAXEUVanAx8CDhv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\nLiJ67f8AHNBHzHMxu6AAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(est._Sigma)\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4AXA18GHgWkkfbkt2NcVapisoFnD+YY4/ggOhmSXLtAzXSmBfROyPiGPAPcCatjRrgDuj\n8BiwSNLS1PI7EJpZuuoLsy6WtL1lG2u5y1nASy3HE+U5ekzTM3eWmFmSHgdUH4qIC2e5Vbv2O1dJ\n0zMHQjNLE5FrYdYJYHnL8TKKj731mqZnbhqbWbo83yzZBqyQdK6kk4G1wOa2NJuB68re44uB1yPi\nQGrxXSM0s2Q5ZpZExJSkG4CHgHnApojYI2l9eX0jsAVYDewDjgLXp+fsQGhmqQLI9M2S8iuXW9rO\nbWzZD+ArWTJr4UBoZuk8xc7Mms6LLphZ4/lznmbWbF59xsyarhhQPdqR0IHQzNKN+DJcDoRmlsw1\nQjNrtnfBO8LkKXaSlkv6paS9kvZI+mqHNH1ZTNHM6qCYa1xlq6scNcIp4GsRsVPSQmCHpK0R8UxL\nmtbFFC+iWEzxogx5m1kdjHjTOLlGGBEHImJnuX8E2Ms71wfry2KKZlYDkW+p/mHJuvqMpHOATwCP\nt13qy2KKZlYTGZbqH6ZsnSWSTgXuBW6MiMPtlzv8SsenUq5YOwZwynsX5SqemfVTfWNcJVkCoaT5\nFEHwroj4SYcklRdTjIhxYBxg4Z8uG/HHa9YMmqlxu7eCHL3GAm4D9kbE97ok68tiimZWA0ExoLrK\nVlM5aoSXAp8HnpK0qzz3LeBs6O9iimY2fCI8oDoiHqXzO8DWNH1ZTNHMaqLpgdDMzIHQzJrt+DvC\nEeZAaGbJRr3X2IHQzBLVe7B0FQ6EZpYmGEgglPRd4NPAMeAF4PqI+F2HdC8CR4BpYCoiLpzr3v7A\nu5mlG8w4wq3A+RHxUeA3wDdnSXt5RHy8ShAEB0Izy0ARlbYUEfFwREyVh49RzFDLwoHQzNJVX3Rh\nsaTtLdvYCeb4BeCBbqUBHpa0o+r9/Y7QzNJEwHTldu+h2Zqrkn4OnNHh0k0RcX+Z5iaKdVDv6nKb\nSyNiUtISYKukZyPikdkK5UBoZukydZZExCdnuy5pHXANcEU5Y63TPSbLnwcl3QesBGYNhG4am1m6\nAaxHKGkV8A3gMxFxtEuaBeVK+UhaAFwFPD3XvR0IzSxNADNRbUtzK7CQorm7S9JGAElnStpSpjkd\neFTSbuAJ4GcR8eBcN3bT2MwSBUT/Z5ZExJ93OT9JsboVEbEf+Fiv93YgNLM0QS+dJbXkQGhm6TzF\nzswaz4HQzJrNiy6YWdMF4GW4zKzxXCM0s2braYpdLTkQmlmagBjAOMJ+ciA0s3Tps0aGyoHQzNL5\nHaGZNVqEe43NzFwjNLOGC2J6etiFSOJAaGZpji/DNcIcCM0s3YgPn0lemFXSckm/lLRX0h5JX+2Q\n5jJJr5eLKe6S9O3UfM2sHgKImai01VWOGuEU8LWI2Fkukb1D0taIeKYt3a8i4poM+ZlZncRgFmbt\np+RAGBEHgAPl/hFJe4GzgPZAaGbvUqPeWaIuH4I6sZtJ51B8Ler8iDjccv4y4F5gApgEvh4Re7rc\nYww4/i3S86nw4ZUBWgwcGnYhWrg8c6tbmepWnvMiYmHKDSQ9SPHnquJQRKxKya8fsgVCSacC/wn8\nQ0T8pO3aacBMRLwhaTXw/YhYUeGe22f7BuqguTyzq1t5oH5lcnnqKctX7CTNp6jx3dUeBAEi4nBE\nvFHubwHmS6r6fxAzs77K0Wss4DZgb0R8r0uaM8p0SFpZ5vtKat5mZjnk6DW+FPg88JSkXeW5bwFn\nA0TERuBzwJckTQFvAmu7faW+zXiG8uXk8syubuWB+pXJ5amhrJ0lZmajKMs7QjOzUeZAaGaNV5tA\nKOn9krZKer78+b4u6V6U9FQ5VW97H8qxStJzkvZJ2tDhuiTdUl5/UtIFuctwAmUa2BRGSZskHZTU\ncXznkJ7PXGUa6BTPitNOB/acPA22goioxQb8E7Ch3N8A/GOXdC8Ci/tUhnnAC8CfAScDu4EPt6VZ\nDTwACLgYeLzPz6VKmS4D/mNA/57+ErgAeLrL9YE+n4plGtjzKfNbClxQ7i8EfjPMv0cVyzPQZ1S3\nrTY1QmANcEe5fwfw2SGUYSWwLyL2R8Qx4J6yXK3WAHdG4TFgkaSlQy7TwETEI8CrsyQZ9POpUqaB\niogDEbGz3D8CHJ922mpgz6lieRqtToHw9CjmLVP+XNIlXQAPS9pRTsfL6SzgpZbjCd75F6ZKmkGX\nCeASSbslPSDpI30sz1wG/XyqGsrzKaedfgJ4vO3SUJ7TLOWB+vwdGriBrkco6efAGR0u3dTDbS6N\niElJS4Ctkp4tawQ5qMO59vFFVdLkVCW/ncAH4w9TGH8KzDmFsU8G/XyqGMrzKaed3gvcGC1z749f\n7vArfX1Oc5SnTn+HBm6gNcKI+GREnN9hux94+XjToPx5sMs9JsufB4H7KJqOuUwAy1uOl1EsEtFr\nmpzmzC/qNYVx0M9nTsN4PnNNO2XAz8nTYGdXp6bxZmBdub8OuL89gaQFKtY8RNIC4Cryrk6zDVgh\n6VxJJwNry3K1l/O6stfvYuD14036PpmzTDWbwjjo5zOnQT+fMq9Zp50ywOdUpTw1+zs0cHVaqv9m\n4MeSvgj8D/DXAJLOBP41IlYDpwP3lf++3gP8W0Q8mKsAETEl6QbgIYre2k0RsUfS+vL6RmALRY/f\nPuAocH2u/BPKdKJTGHsm6W6KHsbFkiaA7wDzW8oy0OdTsUwDez6lKtNOB/mc+jkN9l3BU+zMrPHq\n1DQ2MxsKB0IzazwHQjNrPAdCM2s8B0IzazwHQjNrPAdCM2u8/wcExWH2mMI+mgAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(est._cov)\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
